Answer:
Ques 11: 123.08 meters.
Ques 12: 269.4 meters.
Ques 13: 211.27 meters.
Step-by-step explanation:
Ques 11: We have that the angle of elevation from the ship to the top of the lighthouse is 18° and the height of the lighthouse is 40 m.
It is required to find the distance of the ship from the shore, say 'x' m.
As, we have, 
⇒ 
⇒ 
⇒ 
⇒ x = 123.08 m.
Thus, the distance of the ship from the shore is 123.08 meters.
Ques 12: We have, length of the kite is 300 m and the angle made by the string is 64°.
It is required to find the height of the kite, say 'x' m.
As, we have, 
⇒ 
⇒ 
⇒ 
⇒ x = 269.4 m.
Hence, the height of the kite is 269.4 meters.
Ques 13: We have, the wreckage is found at the angle of 12° and the diver is lowered down by 45 meters.
It is required to find the distance covered by the diver to reach the wreckage, say 'x' m.
As, we have,
⇒ 
⇒ 
⇒ 
⇒ x = 211.27 m.
Thus, the distance covered by the diver to reach the wreckage is 211.27 meters.
Answer:
cartisan plane
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the VALUE OF 3r=10+5 when r=10?
substitute 10 for r in 3r=10+5. We get:
3(10) = 10 + 5, or 30 = 15. This equation is FALSE when r = 10.
You could solve the equation for r, however:
3r=10+5 becomes 3r = 15, and so r = 5. 5 is a solution; 10 is not a solution.
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Answer:
-5/2
Step-by-step explanation:
In order to find the slope of a perpendicular line: negate the reciprocal of the original slope
